Integration Questions/problems Â  1. Â The diagram below, not drawn to scale shows part of the curve y = x2+5 and the line y = 8-2x.

### Approximation of area Questions and Answers

Approximation of area Questions Â  1. Â Find the area under the graph of between and. Using the mid ordinate rule with two trapezia. Â  (3mks)

Differentiation Questions Â  1. Â A particle moves in a straight line from a fixed point. Its velocity Vm/s after t seconds is given by calculate

### Linear programming Questions and Answers

Linear programming Questions Â  1. Â A tailoring business makes two types of garments A and B. Garment A requires 3 metres of Â material while garment

### Longitudes and latitudes Questions and Answers

Longitudes and latitudes Questions 1. Â A globe representing the earth has a radius of 0.2m. Points P (600N, 1400E) and Q (600N, 1200W) are marked

### Three-dimensional geometry Questions and Answers

Three-dimensional geometry Questions 1. Â The figure below represents a plan of a roof with a rectangular base ABCD. AB = 20cm and BC=12cm. the ridge

### Trigonometric ratios 3 Questions and Answers

Trigonometric ratios 3 Questions Â  1. Â Complete the table below by filling in the blank spaces. Â  X0 00 300 600 900 1200 1500 1800

Loci Questions 1. Â Using a ruler and a pair of compasses only, Construct a triangle ABC such that angle ABC = 135oC, AB = 8.2cm

### Statistics II Questions and Answers

Statistics II Questions 1. Â The table below shows the number of defective bolts from a sample of 40 No of bolts 0 1 2 3

### Matrices and Transformations Questions and Answers

Matrices and Transformations Questions Â  1. Â a) (i) On the grid provided, with the same scale on both axes, draw the square S whose vertices

### Graphical Methods Questions and Answers

Graphical Methods Questions Â  1. Â The equation of a circle is given as 2×2 + 2y2 â€“ 8x + 5y + 10 = 0. Find

### Compound proportions, mixtures and rates of work Questions

Compound proportions, mixtures and rates of work Questions Â  1. Â Naliaka bought maize and beans from a wholesaler. She mixed the maize and beans in

Probability Questions Â  1. Â During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their

### Binominal expansion Questions and Answers

Binominal expansion Questions 1. Â a) Using binomial expansion, determine the first five terms of the expansion: Â (2mks) Â b) Use the expansion above to evaluate Â

### Vectors 2 Questions and Answers

Vectors 2 Questions 1. Â In the figure below E is the mid point of BC. AD:DC = 3:2 and F is the meeting point of

### Sequence and series Questions and Answers

Sequence and series Questions Â  1. Â The six exterior angles of a hexagon form an arithmetic progression. if the smallest angle is 150, find the